TSTP Solution File: GEO255+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:19 EDT 2022
% Result : Timeout 296.14s 296.39s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:22:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 296.14/296.39 GeoParameters:
% 296.14/296.39
% 296.14/296.39 tptp_input = 1
% 296.14/296.39 tptp_output = 0
% 296.14/296.39 nonempty = 1
% 296.14/296.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 296.14/296.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 296.14/296.39
% 296.14/296.39
% 296.14/296.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 296.14/296.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 296.14/296.39
% 296.14/296.39 RuleSystem INPUT:
% 296.14/296.39
% 296.14/296.39 Initial Rules:
% 296.14/296.39 #0: input, references = 3, size of lhs = 1:
% 296.14/296.39 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #2: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #3: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #4: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | pppp0-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #5: input, references = 3, size of lhs = 1:
% 296.14/296.39 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #6: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #7: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #8: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #9: input, references = 3, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | pppp1-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #10: input, references = 3, size of lhs = 1:
% 296.14/296.39 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #11: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #12: input, references = 3, size of lhs = 3:
% 296.14/296.39 #-{F} V0, #-{F} V2, P_reverse_line-{F}(V1,V3) | pppp5-{T}(V0,V1,V2,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #13: input, references = 3, size of lhs = 3:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V3), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #14: input, references = 3, size of lhs = 3:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V3) | pppp2-{T}(V0,V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #15: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #16: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V0,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #17: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #18: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #19: input, references = 5, size of lhs = 1:
% 296.14/296.39 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #20: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #21: input, references = 16, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V1,V3), P_line_connecting-{F}(V0,V2,V4), pppp3-{F}(V0,V1,V2) | pppp6-{T}(V0,V1,V2,V3,V4)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #22: input, references = 7, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V1,V3), P_line_connecting-{F}(V0,V2,V4), distinct_points-{F}(V0,V2) | pppp3-{T}(V0,V1,V2), left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3), left_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V3), unequally_directed_lines-{T}(V1,V4)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #23: input, references = 9, size of lhs = 2:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), unequally_directed_lines-{F}(V1,V4) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #24: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #25: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #26: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #27: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #28: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4) | distinct_points-{T}(V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #29: input, references = 3, size of lhs = 1:
% 296.14/296.39 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #30: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #31: input, references = 3, size of lhs = 4:
% 296.14/296.39 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #32: input, references = 3, size of lhs = 3:
% 296.14/296.39 pppp7-{F}(V0,V1,V2,V3), before_on_line-{F}(V1,V3,V2), before_on_line-{F}(V1,V2,V0) | pppp4-{T}(V0,V1,V2,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #33: input, references = 3, size of lhs = 3:
% 296.14/296.39 pppp7-{F}(V0,V1,V2,V3), before_on_line-{F}(V1,V0,V2), before_on_line-{F}(V1,V2,V3) | pppp4-{T}(V0,V1,V2,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #34: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V2,V3), before_on_line-{T}(V1,V2,V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #35: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V2,V3), before_on_line-{T}(V1,V3,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #36: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V0,V2), before_on_line-{T}(V1,V2,V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #37: input, references = 3, size of lhs = 2:
% 296.14/296.39 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V0,V2), before_on_line-{T}(V1,V3,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #38: input, references = 3, size of lhs = 1:
% 296.14/296.39 distinct_points-{F}(V0,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #39: input, references = 5, size of lhs = 2:
% 296.14/296.39 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #40: input, references = 3, size of lhs = 1:
% 296.14/296.39 distinct_lines-{F}(V0,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #41: input, references = 3, size of lhs = 2:
% 296.14/296.39 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #42: input, references = 3, size of lhs = 1:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #43: input, references = 7, size of lhs = 2:
% 296.14/296.39 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #44: input, references = 3, size of lhs = 4:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V3), unequally_directed_lines-{T}(V1,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #45: input, references = 3, size of lhs = 4:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V3), unequally_directed_lines-{T}(V1,V4)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #46: input, references = 3, size of lhs = 4:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V4), unequally_directed_lines-{T}(V1,V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #47: input, references = 3, size of lhs = 4:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V4), unequally_directed_lines-{T}(V1,V4)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #48: input, references = 5, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V0,V1), line-{F}(V0), line-{F}(V2) | unequally_directed_lines-{T}(V2,V0), unequally_directed_lines-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #49: input, references = 4, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | left_convergent_lines-{T}(V0,V1), left_convergent_lines-{T}(V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #50: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #51: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #52: input, references = 9, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #53: input, references = 11, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #54: input, references = 3, size of lhs = 4:
% 296.14/296.39 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #55: input, references = 3, size of lhs = 6:
% 296.14/296.39 P_reverse_line-{F}(V0,V1), line-{F}(V0), P_intersection_point-{F}(V2,V0,V3), line-{F}(V2), unequally_directed_lines-{F}(V2,V0), unequally_directed_lines-{F}(V2,V1) | point-{T}(V3)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #56: input, references = 3, size of lhs = 3:
% 296.14/296.39 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #57: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #58: input, references = 3, size of lhs = 3:
% 296.14/296.39 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #59: input, references = 3, size of lhs = 3:
% 296.14/296.39 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #60: input, references = 3, size of lhs = 5:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), apart_point_and_line-{F}(V3,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #61: input, references = 3, size of lhs = 5:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), apart_point_and_line-{F}(V3,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #62: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #63: input, references = 3, size of lhs = 2:
% 296.14/296.39 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #64: input, references = 9, size of lhs = 4:
% 296.14/296.39 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), P_reverse_line-{F}(V3,V4), unequally_directed_lines-{F}(V2,V4) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #65: input, references = 7, size of lhs = 2:
% 296.14/296.39 P_parallel_through_point-{F}(V1,V0,V2), unequally_directed_lines-{F}(V2,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #66: input, references = 3, size of lhs = 4:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V4), distinct_lines-{F}(V3,V1), distinct_points-{F}(V5,V0) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2), left_apart_point-{T}(V0,V3), left_apart_point-{T}(V0,V4), left_apart_point-{T}(V5,V3), left_apart_point-{T}(V5,V1), left_apart_point-{T}(V5,V4), left_apart_point-{T}(V5,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #67: input, references = 3, size of lhs = 3:
% 296.14/296.39 P_line_connecting-{F}(V2,V0,V3), distinct_points-{F}(V2,V0), left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), left_convergent_lines-{T}(V3,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #68: input, references = 3, size of lhs = 2:
% 296.14/296.39 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #69: input, references = 3, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), left_apart_point-{F}(V3,V0) | distinct_lines-{T}(V0,V1), left_apart_point-{T}(V3,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #70: input, references = 3, size of lhs = 2:
% 296.14/296.39 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #71: input, references = 4, size of lhs = 0:
% 296.14/296.39 FALSE | EXISTS V0: pppp10-{T}(V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #72: input, references = 4, size of lhs = 1:
% 296.14/296.39 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #73: input, references = 4, size of lhs = 1:
% 296.14/296.39 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #74: input, references = 3, size of lhs = 1:
% 296.14/296.39 pppp9-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #75: input, references = 4, size of lhs = 1:
% 296.14/296.39 pppp8-{F}(V0,V1,V2) | before_on_line-{T}(V1,V2,V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #76: input, references = 4, size of lhs = 1:
% 296.14/296.39 pppp8-{F}(V0,V1,V2) | before_on_line-{T}(V1,V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #77: input, references = 4, size of lhs = 1:
% 296.14/296.39 pppp8-{F}(V0,V1,V2) | line-{T}(V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #78: input, references = 25, size of lhs = 1:
% 296.14/296.39 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #79: input, references = 7, size of lhs = 2:
% 296.14/296.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #80: input, references = 3, size of lhs = 2:
% 296.14/296.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #81: input, references = 3, size of lhs = 2:
% 296.14/296.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 number of initial rules = 82
% 296.14/296.39
% 296.14/296.39 Simplifiers:
% 296.14/296.39 #82: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #83: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #84: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #85: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #86: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #87: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #88: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #89: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V2), V1 == V4 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #90: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V5), V2 == V5 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #91: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V0 == V3 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #92: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #93: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #94: unsound, references = 3, size of lhs = 3:
% 296.14/296.39 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 number of simplifiers = 13
% 296.14/296.39
% 296.14/296.39 Learnt:
% 296.14/296.39 #97: disj( #48, input ), references = 1, size of lhs = 6:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1), line-{F}(V2), P_reverse_line-{F}(V3,V0), P_line_connecting-{F}(V4,V5,V2), P_line_connecting-{F}(V5,V4,V3) | unequally_directed_lines-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #101: exists( #79, #99 ), references = 1, size of lhs = 7:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1), line-{F}(V2), P_parallel_through_point-{F}(V1,V3,V2), P_reverse_line-{F}(V4,V0), P_line_connecting-{F}(V5,V6,V2), P_line_connecting-{F}(V6,V5,V4) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #105: disj( #39, input ), references = 1, size of lhs = 1:
% 296.14/296.39 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #131: mergings( V1 == V5, V5 == V7; #113 ), references = 1, size of lhs = 5:
% 296.14/296.39 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6) | pppp3-{T}(V4,V2,V5), unequally_directed_lines-{T}(V2,V6)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #270: mergings( V1 == V5, V5 == V7, V6 == V8; #195 ), references = 4, size of lhs = 5:
% 296.14/296.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V3,V4), P_reverse_line-{F}(V4,V5), P_reverse_line-{F}(V5,V6) | pppp3-{T}(V0,V4,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #748: disj( #43, input ), references = 54, size of lhs = 1:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V1,V0)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #749: disj( #43, input ), references = 30, size of lhs = 2:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unequally_directed_lines-{T}(V1,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #755: mergings( V1 == V2, V2 == V4, V3 == V5; #751 ), references = 1, size of lhs = 8:
% 296.14/296.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), P_parallel_through_point-{F}(V6,V7,V8), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V9,V10) | pppp3-{T}(V0,V8,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #758: disj( #48, input ), references = 27, size of lhs = 2:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #759: disj( #48, input ), references = 1, size of lhs = 4:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1), line-{F}(V2), P_parallel_through_point-{F}(V0,V3,V2) | unequally_directed_lines-{T}(V2,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #850: mergings( V1 == V5, V5 == V7; #767 ), references = 4, size of lhs = 6:
% 296.14/296.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4), pppp6-{F}(V7,V2,V8,V9,V6) | pppp3-{T}(V0,V6,V1)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #857: exists( #78, #855 ), references = 1, size of lhs = 4:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_parallel_through_point-{F}(V3,V4,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #867: disj( #43, #748+#64 ), references = 23, size of lhs = 4:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V2,V0), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5) | unequally_directed_lines-{T}(V1,V5)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #873: exists( #78, #871 ), references = 2, size of lhs = 5:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #889: exists( #78, #887 ), references = 1, size of lhs = 11:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V5,V0), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9), P_reverse_line-{F}(V10,V9), P_line_connecting-{F}(V11,V12,V10), P_line_connecting-{F}(V12,V11,V13), P_parallel_through_point-{F}(V13,V14,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #898: disj( #49, input ), references = 1, size of lhs = 4:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V1) | left_convergent_lines-{T}(V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #900: mergings( V1 == V3; #897 ), references = 13, size of lhs = 3:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V1,V2) | left_convergent_lines-{T}(V0,V2)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #913: exists( #78, #909 ), references = 1, size of lhs = 8:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V2,V5,V0), P_reverse_line-{F}(V6,V2), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #914: exists( #78, #910 ), references = 1, size of lhs = 8:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V3,V4), P_parallel_through_point-{F}(V2,V5,V0), P_reverse_line-{F}(V6,V2), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #931: exists( #78, #927 ), references = 1, size of lhs = 5:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_parallel_through_point-{F}(V2,V4,V3), P_parallel_through_point-{F}(V3,V5,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #945: exists( #78, #943 ), references = 1, size of lhs = 6:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V6), P_parallel_through_point-{F}(V3,V7,V6) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #966: mergings( V2 == V3; #963 ), references = 1, size of lhs = 4:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V1), P_parallel_through_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V3,V4,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #989: exists( #78, #985 ), references = 1, size of lhs = 6:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_parallel_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V2,V5,V6), P_parallel_through_point-{F}(V6,V7,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1014: exists( #78, #1012 ), references = 1, size of lhs = 6:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V0), P_line_connecting-{F}(V2,V3,V1), P_line_connecting-{F}(V3,V2,V4), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1030: disj( #43, input ), references = 7, size of lhs = 2:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V1,V3,V4,V5) | unequally_directed_lines-{T}(V0,V5)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1044: mergings( V2 == V3; #1041 ), references = 1, size of lhs = 4:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V1), pppp3-{F}(V2,V0,V3), P_line_connecting-{F}(V2,V3,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1059: exists( #78, #1055 ), references = 1, size of lhs = 6:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_parallel_through_point-{F}(V1,V4,V0), P_parallel_through_point-{F}(V2,V5,V6), pppp6-{F}(V7,V1,V8,V9,V6) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1094: exists( #78, #1088 ), references = 1, size of lhs = 10:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V6), P_reverse_line-{F}(V6,V7), P_line_connecting-{F}(V8,V9,V7), P_line_connecting-{F}(V9,V8,V10), P_reverse_line-{F}(V10,V11), P_parallel_through_point-{F}(V11,V12,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1095: exists( #78, #1089 ), references = 1, size of lhs = 8:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V5,V3), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9), P_parallel_through_point-{F}(V9,V10,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1096: exists( #78, #1090 ), references = 1, size of lhs = 9:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V6), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V9), P_reverse_line-{F}(V9,V10), P_parallel_through_point-{F}(V10,V11,V6) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1122: exists( #78, #1118 ), references = 1, size of lhs = 9:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V5,V3), P_parallel_through_point-{F}(V6,V7,V4), P_reverse_line-{F}(V8,V6), P_line_connecting-{F}(V9,V10,V8), P_line_connecting-{F}(V10,V9,V11), P_parallel_through_point-{F}(V11,V12,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1123: exists( #78, #1119 ), references = 1, size of lhs = 10:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V6), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V9), P_reverse_line-{F}(V9,V10), P_parallel_through_point-{F}(V10,V11,V12), P_parallel_through_point-{F}(V12,V13,V6) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1150: mergings( V2 == V3; #1147 ), references = 2, size of lhs = 6:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V1), pppp3-{F}(V2,V0,V3), P_line_connecting-{F}(V2,V3,V4), P_parallel_through_point-{F}(V1,V5,V6), P_parallel_through_point-{F}(V6,V7,V4) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1165: disj( #43, input ), references = 6, size of lhs = 4:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V4), P_reverse_line-{F}(V4,V5) | unequally_directed_lines-{T}(V1,V5)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1178: exists( #78, #1174 ), references = 1, size of lhs = 7:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_parallel_through_point-{F}(V3,V4,V0), P_reverse_line-{F}(V5,V2), P_line_connecting-{F}(V6,V7,V3), P_line_connecting-{F}(V7,V6,V5) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1184: exists( #78, #1182 ), references = 1, size of lhs = 3:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1204: exists( #78, #1200 ), references = 3, size of lhs = 8:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V6) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1205: exists( #78, #1201 ), references = 2, size of lhs = 8:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V6) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1207: exists( #79, #873 ), references = 1, size of lhs = 3:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V2,V1,V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1215: exists( #78, #1213 ), references = 1, size of lhs = 7:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_reverse_line-{F}(V3,V4), P_line_connecting-{F}(V5,V6,V0), P_line_connecting-{F}(V6,V5,V7), pppp6-{F}(V8,V4,V9,V10,V7) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1244: exists( #78, #1240 ), references = 1, size of lhs = 10:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V4,V2), P_parallel_through_point-{F}(V2,V5,V6), P_parallel_through_point-{F}(V6,V7,V8), P_line_connecting-{F}(V9,V10,V8), P_line_connecting-{F}(V10,V9,V0), P_line_connecting-{F}(V11,V12,V3), P_line_connecting-{F}(V12,V11,V4) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1245: exists( #78, #1241 ), references = 1, size of lhs = 10:
% 296.14/296.39 line-{F}(V0), P_line_connecting-{F}(V1,V2,V0), P_line_connecting-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V5,V3), P_reverse_line-{F}(V6,V7), P_parallel_through_point-{F}(V7,V8,V4), P_reverse_line-{F}(V7,V9), P_reverse_line-{F}(V10,V7), P_line_connecting-{F}(V11,V12,V6), P_line_connecting-{F}(V12,V11,V10) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1281: mergings( V10 == V12, V3 == V7, V9 == V15, V12 == V16; #1274 ), references = 1, size of lhs = 15:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V6,V0), P_parallel_through_point-{F}(V0,V7,V8), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V9), distinct_points-{F}(V13,V14), P_line_connecting-{F}(V13,V14,V8), P_line_connecting-{F}(V15,V16,V8), P_line_connecting-{F}(V16,V15,V12) | distinct_points-{T}(V5,V6)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1287: mergings( V10 == V12, V3 == V7, V9 == V15, V12 == V16, V11 == V17; #1275 ), references = 1, size of lhs = 14:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V6,V0), P_parallel_through_point-{F}(V0,V7,V8), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V11,V9), distinct_points-{F}(V12,V13), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V14,V15,V8), P_line_connecting-{F}(V15,V14,V11) | distinct_points-{T}(V5,V6)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1291: mergings( V11 == V13, V3 == V8, V10 == V16; #1276 ), references = 1, size of lhs = 14:
% 296.14/296.39 line-{F}(V0), P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V4), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V7,V0), P_parallel_through_point-{F}(V0,V8,V9), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V10,V11), distinct_points-{F}(V12,V13), P_line_connecting-{F}(V12,V13,V9), P_parallel_through_point-{F}(V4,V14,V15), P_parallel_through_point-{F}(V15,V16,V9) | distinct_points-{T}(V6,V7)
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1293: exists( #78, #1204 ), references = 1, size of lhs = 5:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1310: exists( #78, #1307 ), references = 1, size of lhs = 4:
% 296.14/296.39 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V2,V0), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1319: exists( #78, #1317 ), references = 1, size of lhs = 7:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V1,V2,V3), pppp3-{F}(V4,V0,V5), P_line_connecting-{F}(V4,V5,V6), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1321: exists( #79, #1318 ), references = 1, size of lhs = 5:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), P_line_connecting-{F}(V2,V1,V3), pppp3-{F}(V4,V0,V5), P_line_connecting-{F}(V4,V5,V3) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1323: exists( #79, #1320 ), references = 1, size of lhs = 3:
% 296.14/296.39 line-{F}(V0), pppp3-{F}(V1,V0,V2), pppp3-{F}(V2,V0,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1330: exists( #73, #1328 ), references = 1, size of lhs = 1:
% 296.14/296.39 pppp9-{F}(V0,V1) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1332: exists( #72, #1329 ), references = 1, size of lhs = 1:
% 296.14/296.39 pppp10-{F}(V0) | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 #1334: exists( #71, #1331 ), references = 1, size of lhs = 0:
% 296.14/296.39 FALSE | FALSE
% 296.14/296.39 (used 0 times, uses = {})
% 296.14/296.39
% 296.14/296.39 number of learnt formulas = 53
% 296.14/296.39
% 296.14/296.39
% 296.14/296.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 296.14/296.39
% 296.14/296.39 randbase = 1
%------------------------------------------------------------------------------